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Cube Faces Painted Two Colors

1675AdeptCombinatoricsCounting Principles

AMC 10B · 2004 · Problem 23

Each face of a cube is painted either red or blue, each with probability $1/2$. The color of each face is determined independently. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?

Answer choices

A
\frac{1}{4}
B
\frac{5}{16}
C
\frac{3}{8}
D
\frac{7}{16}
E
\frac{1}{2}
0 students attempted0% solvedRating 1675

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